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57643542 = 23311531831
BaseRepresentation
bin1101101111100…
…1001000010110
311000110121002000
43123321020112
5104224043132
65415300130
71266650655
oct333711026
9130417060
1057643542
112a5a14a0
121737a646
13bc33508
14792719c
1550d987c
hex36f9216

57643542 has 64 divisors (see below), whose sum is σ = 142456320. Its totient is φ = 17128800.

The previous prime is 57643541. The next prime is 57643559. The reversal of 57643542 is 24534675.

57643542 is a `hidden beast` number, since 5 + 7 + 643 + 5 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 57643497 and 57643506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57643541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30567 + ... + 32397.

It is an arithmetic number, because the mean of its divisors is an integer number (2225880).

Almost surely, 257643542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57643542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71228160).

57643542 is an abundant number, since it is smaller than the sum of its proper divisors (84812778).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57643542 is a wasteful number, since it uses less digits than its factorization.

57643542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 57643542 is about 7592.3344236144. The cubic root of 57643542 is about 386.2930426158.

It can be divided in two parts, 57643 and 542, that added together give a palindrome (58185).

The spelling of 57643542 in words is "fifty-seven million, six hundred forty-three thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 99 106 159 198 297 318 477 583 594 954 1166 1431 1749 1831 2862 3498 3662 5247 5493 10494 10986 15741 16479 20141 31482 32958 40282 49437 60423 97043 98874 120846 181269 194086 291129 362538 543807 582258 873387 1067473 1087614 1746774 2134946 2620161 3202419 5240322 6404838 9607257 19214514 28821771 57643542